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A method is presented for performing joint analyses of cosmological datasets, in which the weight assigned to each dataset is determined directly by it own statistical properties. The weights are considered in a Bayesian context as a set of…

天体物理学 · 物理学 2009-11-07 M. P. Hobson , S. L. Bridle , O. Lahav

Employing a recently proposed metamodeling for the nucleonic matter equation of state we analyze neutron star global properties such as masses, radii, momentum of inertia, and others. The impact of the uncertainty on empirical parameters on…

核理论 · 物理学 2018-03-07 J. Margueron , R. Hoffmann Casali , F. Gulminelli

One of the main concepts in quantum physics is a density matrix, which is a symmetric positive definite matrix of trace one. Finite probability distributions can be seen as a special case when the density matrix is restricted to be…

量子物理 · 物理学 2009-01-12 Manfred K Warmuth , Dima Kuzmin

Modeling buildings' heat dynamics is a complex process which depends on various factors including weather, building thermal capacity, insulation preservation, and residents' behavior. Gray-box models offer a causal inference of those…

机器学习 · 计算机科学 2019-02-20 Nilavra Pathak , James Foulds , Nirmalya Roy , Nilanjan Banerjee , Ryan Robucci

In this review statistical issues appearing in astrophysical searches for particle dark matter, i.e. indirect detection (dark matter annihilating into standard model particles) or direct detection (dark matter particles scattering in deep…

宇宙学与河外天体物理 · 物理学 2015-06-22 Jan Conrad

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

广义相对论与量子宇宙学 · 物理学 2009-11-13 John Veitch , Alberto Vecchio

Bayes' theorem incorporates distinct types of information through the likelihood and prior. Direct observations of state variables enter the likelihood and modify posterior probabilities through consistent updating. Information in terms of…

统计方法学 · 统计学 2024-07-19 Duncan K. Foley , Ellis Scharfenaker

Variational Bayesian Inference is a popular methodology for approximating posterior distributions over Bayesian neural network weights. Recent work developing this class of methods has explored ever richer parameterizations of the…

The interpretation of data in terms of multi-parameter models of new physics, using the Bayesian approach, requires the construction of multi-parameter priors. We propose a construction that uses elements of Bayesian reference analysis. Our…

数据分析、统计与概率 · 物理学 2011-08-03 Maurizio Pierini , Harrison B. Prosper , Sezen Sekmen , Maria Spiropulu

Neutron star matter spans a wide range of densities, from that of nuclei at the surface to exceeding several times normal nuclear matter density in the core. While terrestrial experiments, such as nuclear or heavy-ion collision experiments,…

高能天体物理现象 · 物理学 2023-12-19 Suprovo Ghosh , Debarati Chatterjee , Jürgen Schaffner-Bielich

In solving Bayesian inverse problems, it is often desirable to use a common density parameterization to denote the prior and posterior. Typically we seek a density from the same family as the prior which closely approximates the true…

数值分析 · 数学 2022-03-29 Xiao-Mei Yang , Zhi-Liang Deng

Astrophysical observations of neutron stars probe the structure of dense nuclear matter and have the potential to reveal phase transitions at high densities. Most recent analyses are based on parametrized models of the equation of state…

高能天体物理现象 · 物理学 2025-05-13 Reed Essick , Isaac Legred , Katerina Chatziioannou , Sophia Han , Philippe Landry

Bayesian inferences in high energy physics often use uniform prior distributions for parameters about which little or no information is available before data are collected. The resulting posterior distributions are therefore sensitive to…

应用统计 · 统计学 2011-06-03 Luc Demortier , Supriya Jain , Harrison B. Prosper

A modified version of the density dependent covariant density functional model proposed in [T. Malik, M. Ferreira, B. K. Agrawal and C. Provid\^encia, ApJ 930, 17 (2022)] is employed in a Bayesian analysis to determine the equation of state…

核理论 · 物理学 2023-04-12 Mikhail V. Beznogov , Adriana R. Raduta

In astronomical and cosmological studies one often wishes to infer some properties of an infinite-dimensional field indexed within a finite-dimensional metric space given only a finite collection of noisy observational data. Bayesian…

天体物理仪器与方法 · 物理学 2014-06-26 Ewan Cameron

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

系统与控制 · 计算机科学 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

When combining data sets to perform parameter inference, the results will be unreliable if there are unknown systematics in data or models. Here we introduce a flexible methodology, BACCUS: BAyesian Conservative Constraints and Unknown…

宇宙学与河外天体物理 · 物理学 2018-07-04 José Luis Bernal , John A. Peacock

When performing Bayesian inference, we frequently need to work with conditional probability densities. For example, the posterior function is the conditional density of the parameters given the data. Some might worry that conditional…

统计方法学 · 统计学 2026-03-31 Alex Yan , Cathal Mills , Augustin Marignier , Younjung Kim , Ben Lambert

We present a computational framework for estimating the uncertainty in the numerical solution of linearized infinite-dimensional statistical inverse problems. We adopt the Bayesian inference formulation: given observational data and their…

数值分析 · 数学 2013-08-07 Tan Bui-Thanh , Omar Ghattas , James Martin , Georg Stadler

In this work, two completely different approaches, statefinder with error bars and Bayesian evidence, are used to distinguish and judge three time-dependent dark energy models. The parameters constrain for the three dark energy models are…

广义相对论与量子宇宙学 · 物理学 2016-10-14 Hongchao Zhang , Enkun Li , Lixin Xu